
where \({}_p{F_q}^{(m)}\left( {{\bf {X}}},{\bf Y} \right)\)  denotes the hypergeometric function of two \(m\times m\)  Hermitian matrices [1]}. To derive (REF ) in closed-form, \({}_1{F_0}^{\left( {{N_r}} \right)}\left( {1; - s{{\bf {R}}_r},{\bf {V}}} \right)\)  is simplified as (REF ), shown at the top of the next page,
<FIGURE>